The time it took to fly through ah fro is 21 hours
x=21 hrs
This is further explained below.
How many hours did the trip take?Generally, A cargo aircraft traveled to the repair facility and returned again, and the flight there took an hour less of its total time than the flight back did.
The voyage there had an average speed of 220 miles per hour, whereas the return back had an average speed of 200 miles per hour. I was wondering how many hours the journey took.
Generally, the equation for the distance is mathematically given as
Dist = speed * time
Therefore
Dist to = dist back
220t = 200(t+1)
220t = 200t + 200
220t - 200 = 200
20t = 200
t = 200/20
t = 10 hrs to
Considering for hours back
10 + 1 = 11 hrs back
Total hrs: 10 + 11 = 21 hrs for the round trip
In conclusion, The trip took
21 hrs
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CQ
a cargo plane flew to the maintenance facility and back it took one hour less time to get there than it did to get back. the average speed on the trip there was 220mph the average speed on the way back was 200mph how many hours did the trip take
for heights of full-grown men in a country, state whether you would expect a histogram of the data to be bell-shaped, uniform, skewed left, or skewed right.
Left-Skewed is the answer.
Histograms are a very common method of visualizing data, and that means that understanding how to interpret histograms is a valuable and important skill in virtually any career. There are a number of things to pay particular attention to when reading a histogram.
Bell-Shaped: A histogram with a prominent ‘mound’ in the center and similar tapering to the left and right. One indication of this shape is that the data is unimodal – meaning that the data has a single mode, identified by the ‘peak’ of the curve.
Uniform: A uniform-shaped histogram indicates data that is very consistent; the frequency of each class is very similar to that of the others.
Right-Skewed: A right-skewed histogram has a peak that is left of the center and a more gradual tapering to the right side of the graph.
Left-Skewed: A left-skewed histogram has a peak to the right of the center, more gradually tapering to the left side. It is unimodal, with the mode closer to the right and greater than either mean or median.
Undefined Bimodal: This shape is not specifically defined, but we can note regardless that it is bi-modal, having two separate classes or intervals equally representing the maximum frequency of the distribution.
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Which proportion is a representation of "The number x is 15% of 60?"
Answer:
Im pretty sure its A
Step-by-step explanation:
6. Steve can save 9 dollars every day while Maria can save 12 dollars every day. What is the least number of days it will take each person to save the same amount of money?
Answer:
Steve has to save for 4 days and Maria has to save for 3 days and they will save $36 each.
Step-by-step explanation:
S = 9 x 4 = 36
M = 12 x 3 = 36
If the ratios comparing two quantities are not equivalent, the two quantities are nonproportional.
True
False
[SQA Advanced Higher 2019 Q17c(i) Edited]
The first three terms of a sequence are given by
5x+8, 2x + 1, x - 4
-
The sequence is geometric for x = 11. There is a second value for x that also gives a geometric sequence.
For this second sequence, show that x²+bx+c = 0 for b and c which are integers to be found.
For the given equations 5x+8, 2x + 1, x - 4 does not form the geometric sequence as the common ratio is not equal.
What is defined as the geometric sequence?A geometric sequence is a type of sequence in which the ratio of every two consecutive terms is constant. This ratio is referred to as a geometric sequence common ratio. In other words, each term in a geometric sequence is multiplied by a constant, yielding the next term. So a geometric sequence has the form a, ar, ar²..., where 'a' is the initial term and 'r' is the sequence's common ratio. The common ratio may be both positive and negative.For the given sequence;
The first three terms of a sequence are given by;
a = 5x+8,
ar = 2x + 1,
ar² = x - 4
Put the value of x = 11 to check if the sequence forms and GP.
a = 5x11+8 = 63
ar = 2x11 + 1 = 23
ar² = 11 - 4 = 7
Find the common ratio;
ar/ a = ar²/ar
23/ 63 = 7/ 23
But 23/ 63 ≠ 7/ 23
As, the common ratio is not same, it will not form as geometric sequence.
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Look At the Screenshots Please
Integer -17 represents Rudy's score for 2 weeks.
What are integers?A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts. The set of integers is frequently denoted by the Z in mathematical notation.Rudy's scores:
Week 1: 15Week 2: -32Then, add 15 and -32 as follows:
= 15 + (-32)= 15 - 32= - 17Therefore, integer -17 represents Rudy's score for 2 weeks.
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Every counting number is a rational number true or false
Reason:
The counting numbers, aka the set of natural numbers, is the set {1, 2, 3, 4, 5, ...} which is the set of positive integers
A value like 5 is the same as 5/1, which shows it is rational.
A rational number is any fraction of two whole numbers (eg: 2/3 and 4/7). The denominator cannot be zero.
Since we can rewrite the 5 as 5/1, it can be done with any counting number to show the natural numbers is a subset of the rational numbers.
Any counting number is rational, but not the other way around.
can someone please explain to me how to solve this question
According to the given figure, option (A) and option (F) are correct options which better shows ∠4 ≅ ∠6 respectively.
Let's procced to solve this question.
∠4 ≅ ∠8 by the corresponding angle postulate because two parallel lines is cut by a transversal and ∠4 ≅ ∠8 by the corresponding angle postulate. It's true.
∠6 ≅ ∠8 by the definition of vertical angles. It's true.
and by using the transitive property of congruence that ∠A ≅ ∠B and ∠B ≅ ∠C then ∠A ≅ ∠C.
⇒ ∠4 ≅ ∠6 by the transitive property of congruence.
Hence, option (A) is correct.
Now,
∠2 ≅ ∠6 by the corresponding angle postulate because two parallel lines is cut by a transversal and ∠2 ≅ ∠6 by the corresponding angle postulate. It's true.
∠2 ≅ ∠4 by the definition of vertical angles. It's true.
and by using the transitive property of congruence that ∠A ≅ ∠B and ∠B ≅ ∠C then ∠A ≅ ∠C.
⇒ ∠4 ≅ ∠6 by the transitive property of congruence.
Hence, option (F) is correct.
Therefore, option (A) and option (F) are correct option.
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What is an equation of the line that passes through the point (8,-2) and is perpendicular to the line 4x+3y=3
Answer:
[tex]y = \frac{3}{4}x - 8[/tex]
Step-by-step explanation:
We know that the slope of a line perpendicular to a line with a given slope is the negative reciprocal of that given slope. We are given that we want a line perpendicular to that of 4x + 3y = 3. To find the slope of this given line, we put it into slope intercept form y = mx + b where m is the slope:
[tex]4x + 3y = 3[/tex]
[tex]3y = 3 - 4x[/tex]
[tex]y = 1 - \frac{4}{3}x[/tex]
So we have that the slope of our given line is -4/3. The negative reciprocal of this is 3/4. We thus have that the slope of the line we are looking for is 3/4.
We then know that the equation of the line we want fits the form [tex]y=\frac{3}{4} x + b[/tex], which we know through point slope form. We are then given that (8, -2) is a point on this line. Plugging in:
[tex]-2 = \frac{3}{4}(8) + b[/tex]
[tex]-2 = 6 + b[/tex]
[tex]b = -8[/tex]
We then get the equation of the line we are looking for as [tex]y = \frac{3}{4}x - 8[/tex].
A 42-inch string is to be cut so that one piece is 7 inches longer than the other. what is the length of the shorter piece? the shorter piece has a length of __ inches.
If a 42-inch string is to be cut so that one piece is 7 inches longer than the other, then the shorter piece has a length of 17.5 inches
The length of the shorter piece can be determined by using an algebraic expression.
Any expression consisting of both numbers and letters is considered to be an algebraic expression.
Considering, x to be the length of the shorter piece
As the longer piece is 7 inches longer than the shorter piece, an algebraic expression can be given as,
x + (x + 7) = 42
x + x + 7 = 42
2x + 7 = 42
2x = 42 - 7
2x = 35
x = 35 ÷ 2
x = 17.5
Hence, the length of the shorter piece is calculated to be 17.5 inches.
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Solve. 3(x-2)³/₄=24
The value of x is 18.
3 × [tex] {(x - 2)}^{3/4} [/tex] = 24
Dividing the left hand side and right hand side of the equation by 3, we get
[tex] {(x - 2)}^{3/4} [/tex] = 8
Now, on the right hand side of the equation 8 can be written as
[tex] {(x - 2)}^{3/4} [/tex] = [tex] {(2)}^{3/4×4} [/tex]
Taking paper 4/3 on both the sides of the equation, we get
[tex] {(x - 2)}^{3 / 4 \times 4 / 3} = {2}^{3 / 4 \times 4 \times 4 / 3} [/tex]
x - 2 = 2⁴
x - 2 = 16
x = 16 + 2
x = 18
Thus, the value of x = 18.
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PLEASE I REALLY NEED HELP !!!
79°
73°
Find the value of the missing angle x.
||
२००
Answer:
x = 152°
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle , then
x = 79° + 73° = 152°
Write an ordered-pair rule for the translation in the sequence that maps angle ABC to angle A'B'C'.
The translation sequence that maps angle ABC to angle A'B'C' is (x, y) ⇒ (x + 3, y + 6)
What is transformation?Transformation is the movement of a point around the coordinate plane. Types of transformations are rotation, translation, reflection and dilation.
Translation is a type of transformation which is either up, down, left or right in the coordinate plane.
The translation sequence that maps angle ABC to angle A'B'C' is (x, y) ⇒ (x + 3, y + 6)
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Write each expression as a single natural logarithm. -2 ln 2
Expression as a single natural logarithm of -2 ln 2 is -1.386.
What is natural logarithm?
-2 ln 2
[tex]ln 2^{-2}[/tex] = - 1.386
The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.
The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).
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Describe a situation that could be represented by |x-4|=10
If two quantities are proportional, which must be true of a graph showing the relationship between them? Select all that apply. A The graph is a curve. B The points on the graph are connected. C The graph increases from left to right. D The points of the graph form a straight line. E The points of the graph must include the origin. F The points must all form equivalent ratios.
If two quantities are proportional, the true statements about the graph showing the relationship between them are-
D. The points of the graph form a straight line.
E. The points of the graph must include the origin.
F. The points must all form equivalent ratios.
What is proportionality?In mathematics, two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, which is called the coefficient of proportionality or proportionality constant.
Now let us suppose there are two quantities x and y.
A graph between two quantities is plotted.
Suppose x is directly proportional to y.
Thus, these Two variable quantities have a constant ratio
So, we can write
y ∝ x
Applying constant of proportionality,
y = kx
Where k is the constant of proportionality.
It represents a straight line.
Now,the value of x = 0 then the value of y must be equal zero, then the line which represented the direct variation must be passes through the origin
Now If two variable quantities have a constant ratio and since y = kx is a straight line and passes through origin therefore from the given options the correct answer are-
D. The points of the graph form a straight line.
E. The points of the graph must include the origin.
F. The points must all form equivalent ratios.
Thus, If two quantities are proportional, the true statements about the graph showing the relationship between them are-
D. The points of the graph form a straight line.
E. The points of the graph must include the origin.
F. The points must all form equivalent ratios.
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Which pair of words make this sentence FALSE?
The product of two (I) ___ numbers is always a (n) (II) number.
(A) (I) complex; (II) complex(C) (I) rational; (II) real B. (I) real; (II) complex(D) (I) imaginary; (II) imaginary
The product of two (I) rational numbers is always a (II) real number.
A rational number is defined as any number which can be written in the form of p\q where p, q are whole numbers and co-prime.
A real number is any a number that can be indicated on the number line.
A complex number is an imaginary number which does not reside on the number line, rather can be placed in the complex plane.
The product of any two rational numbers produces a rational number and all rational numbers belong in the superset of Real numbers.
Let us consider the possibilities of the other options as given.
A) Let us consider two complex number 2+i and 2-i . When multiplied they produce 3 which is not a complex number.
B)Product of two real numbers can never produce a complex number.
D)Imaginary and complex are same kind of numbers hence they also follow the first option and is not true.
Hence the only correct option is C as we have surmised that the product of two rational numbers will always produce a real number.
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HELP ASAP!!!111
f(x)= |x|
g(x)=|x| + 1
We can think of gas a translated (shifted) version of f.
Complete the description of the transformation.
Use nonnegative numbers.
To get the function g, shift f ____ by __ units.
From the rules of transformation;
To get the function g, shift f upwards by 1 unit.
What is the transformation of the function?
Transformations simply takes the basic function and transforms it to another function.
The rules of transformation are;
f(x) transformed to f(x) + a means that the function will be moved 'a' units upwards.f(x) transformed to f(x) - a means that the function will be moved 'a' units downwards.f(x) transformed to f(x + a) means that the function will be moved 'a' units to the left.f(x) transformed to f(x - a) means that the function will be moved 'a' units to the rightNow, we want to transform f(x) = |x| into g(x) = |x| + 1
This means from the rules of transformation above, we can say that;
To get the function g, shift f upwards by 1 unit.
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(01.01 LC)
A line is an undefined term because it
O contains an infinite number of points
O can be used to create other geometric shapes
O describes something that does not have width or depth
O is a term that does not have a formal definition
A line is an undefined term because it describes something that does not have width or depth. thus, option describes something that does not have width or depth is correct
Which ray can be said as belonging to a line segment?If the ray lies onto the considered line segment(overlapping), then it can be said belonging to the considered line segment.
(Line segment has 2 fixed ends, whereas a ray has one end only, another end is not fixed)
A line segment is a straight line with finite length, and thus, have to endpoints (points on either ends).
A line can extend its length in both sides infinitely. It contains arrowheads indicating it can extend.
A line is an undefined term because it describes something that does not have width or depth. thus, option describes something that does not have width or depth is correct
Triangle D E F is shown. Angles D F E and F E D are congruent. The lengths of F D and D E are 12, and the length of F E is 3. ΔDEF is an isosceles triangle with base angles E and F. What is the angle measure of the smallest angle in the triangle? Approximate to the nearest degree. degrees What are the measures of the two congruent base angles? degrees
Using the law of cosines, the measures of the angles are given as follows:
Smallest: 14.36º.Two congruent base angles: 82.82º.What is the law of cosines?The law of cosines states that we can find one of the sides or the angle C of a triangle according to the following equation:
c² = a² + b² - 2abcos(C)
In which:
C is the angle opposite to side c.a and b are the lengths of the other sides.For this problem, the parameters for the triangle are given as follows:
a = b = 12, c = 3.
We want to solve for the smallest angle C, hence:
c² = a² + b² - 2abcos(C)
9 = 288 - 288cos(C)
288cos(C) = 279
cos(C) = 279/288
C = arccos(279/288)
C = 14.36º.
The other two angles are congruent, and the sum of the internal angles of a triangle is of 180º, hence:
14.36 + x + x = 180
2x = 165.64
x = 165.64/2
x = 82.82º.
Then the measures of the angles are given as follows:
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Answer:
14
83
Step-by-step explanation:
i did it on edge
PLEASE HELP
PLEASE SHOW HOW U CHECKED UR WORK
Answer: 2= -8+x
Step-by-step explanation:
Add eight to both sides to get
10=x
CHECK
then plug it in to get
2=-8+10
simplify
2=2
please help me fast!!!
Answer:
94.6 m
Step-by-step explanation:
Just put in the number in the info to the formula
formula to find distance travelled, s= 1/2 (u + v) t
U = 0
V = 43
t = 4.4
s= ??
so ,
s = 1/2 (0+43) ×4.4
s = (43× 4.4) ÷ 2
s = 189.2 ÷ 2
s = 94.6 m
yay
-7+11g=9-5g
xkdkdskldsvklnldsvknldsvlkndv
Answer:
g = 1
Step-by-step explanation:
this is how you solve
Answer:
g = 1
Step-by-step explanation:
Add 7
[tex]-7+11g+7=9-5g+7[/tex]
Simplify it
[tex]11g=-5g+16[/tex]
Add 5g
[tex]11g+5g=-5g+16+5g[/tex]
Simplify further
[tex]16g=16\\\frac{16g}{16}=\frac{16}{16}\\= 1\\g = 1[/tex]
(x-2)²=9 in stanrard form
Answer:
Step-by-step explanation:
Your answer is going to be x²+4x-5=0
5
An ant is 10 mm underground and
climbs up 0.25 mm per minute. A
i second ant is 15 mm underground and
climbs up 0.5 mm per minute. After
how many minutes will the first ant be
lower than the second ant?
d
S
Answer:
After 4 minutes
Step-by-step explanation:
After 1 min: Ant 1 is 9.75 mm underground. Ant 2 is 14.5 mm underground.
After 2 min: Ant 1 is 9.5 mm under. Ant 2 is at 14 mm under.
After 3 min: Ant 1 is 9.25 mm under.
After 4 min: Ant 1 is 9 mm under. Ant 2 is 13.5 mm under.
Ant 2 is now closer to the surface than Ant 1.
Given the following Venn diagram, choose the correct set for . {2, 3, 5, 6, 8, 9} {3, 4, 6, 7, 9} {2, 3, 5, 6, 7, 9
Following Venn diagram, the correct choice for the set is: {2, 3, 5, 6, 8, 9}
What are intersects of sets in a Venn diagram?
In a Venn diagram, as used in sets, the intersect of sets refers to members that ate are common to the sets is perspective.
For the given Venn diagram, the intersect of the sets M and N is the numbers in the middle, this means the set M and N has this numbers in common.
However, the question is asking not intersect of sets M and N so knowing the intersect will help us exclude them to have {2, 3, 5, 6, 8, 9}.
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Help me, anyone? I'll give brainliest to the most helpful answer
Check the picture below.
now, let's get their length of TZ and TX and thus we'll get their ratio as TX/TZ or TX : TZ
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ T(\stackrel{x_1}{-8}~,~\stackrel{y_1}{-5})\qquad X(\stackrel{x_2}{4}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ TX=\sqrt{(~~4 - (-8)~~)^2 + (~~-1 - (-5)~~)^2} \implies TX=\sqrt{(4 +8)^2 + (-1 +5)^2} \\\\\\ TX=\sqrt{( 12 )^2 + ( 4 )^2} \implies TX=\sqrt{ 144 + 16 } \implies TX=\sqrt{ 160 } \\\\[-0.35em] ~\dotfill[/tex]
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ T(\stackrel{x_1}{-8}~,~\stackrel{y_1}{-5})\qquad Z(\stackrel{x_2}{7}~,~\stackrel{y_2}{0})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ TZ=\sqrt{(~~7 - (-8)~~)^2 + (~~0 - (-5)~~)^2} \implies TZ=\sqrt{(7 +8)^2 + (0 +5)^2} \\\\\\ TZ=\sqrt{( 15 )^2 + ( 5 )^2} \implies TZ=\sqrt{ 225 + 25 } \implies TZ=\sqrt{ 250 }[/tex]
[tex]~\dotfill\\\\ TX~~ : ~~TZ\implies \cfrac{TX}{TZ}\implies \cfrac{\stackrel{TX}{\sqrt{160}}}{\underset{TZ}{\sqrt{250}}}\implies \cfrac{\sqrt{4^2\cdot 10}}{\sqrt{5^2\cdot 10}}\implies \cfrac{4~~\begin{matrix} \sqrt{10} \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{5~~\begin{matrix} \sqrt{10} \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~} \implies {\LARGE \begin{array}{llll} \cfrac{4}{5} \end{array}}[/tex]
Which is an equivalent expression for 4 times d raised to the negative third power all over quantity 22 times d raised to the ninth power end quantity?
whoever gets it right gets a crown
please helppp
Answer:
An equivalent expression for 4 times d raised to the negative third power all over quantity 22 times d raised to the ninth power is 2d⁻³/11d⁻⁹
What is an expression?
An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
What is an exponent?
An exponent can be defined as a mathematical operation that is used to raise a quantity to the power of another and it is generally written as bⁿ.
Translating the word problem into an algebraic expression, we have;
4 times d raised to the negative third power = (4 × d)⁻³ = 4d⁻³
22 times d raised to the ninth power = (22 × d)⁻⁹ = 22d⁻⁹
Next, we would write the equation as a quotient:
Expression = 4d⁻³/22d⁻⁹
Expression = 2d⁻³/11d⁻⁹
Solve each inequality using a table.
(Hint: For more accurate results, set ΔTbl=0.001 . )
log x+log (x+1)<3
After solving the given inequality the answer is logx+log₁₀(x+1)<3.
What exactly do we mean by inequality?Inequality is a connection in mathematics that makes a non-equal comparison between two numbers or even other mathematical expressions.It is most commonly used on a number line to compare the size and shape of two numbers.So,
Given: logx+log(x+1)<3Then,
logx+log(x+1)<3 ⇒ logx+log₁₀(x+1)<3Therefore, after solving the given inequality the answer is logx+log₁₀(x+1)<3.
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What is the quotient of 4 over 5 divided by 3 over 4?
Answer:
Step-by-step explanation:
flip 3/4 since we are dividing so we get 4/5 times 4/3 to get 16/15
So we get 1 1/15
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